Answer:
D
Step-by-step explanation:
To find the length of board subtract the piece cut from the length of board
-
Before subtracting the fractions we require them to have a common denominator.
Multiply the numerator/denominator of the first fraction by (x + 2)
Multiply the numerator/denominator of the second fraction by (x - 2)
= -
Distribute the numerators leaving the denominator
=
=
Answer:
Step-by-step explanation:
Given
To find:
First of all the square of first function f(x) will be found and then second function g(x) will be subtracted from the square of first function
Squaring the first function
Now subtracting g(x) from [f(x)]^2
Combining alike terms
Hence,
Subtracting g(x) from the square of f(x) gives us:
Answer: There are 48 students in the class.
Step-by-step explanation:
Let the number of students = S
Let the number of benches = B
<em>If 4 students sit on each bench, 3 benches are left vacant.</em>
S = 4(B - 3)
S = 4·B - 12 } Equation 1
<em>If 3 students sit on each bench, 3 students still standing.</em>
S = 3·B + 3 } Equation 2
We can match the two equations because they both indicate the same number of students.
4B - 12 = 3·B + 3
on solving this
4·B - 3·B = 3 + 12
B = 15 → number of benches
That is the number of benches, therefore substituting the value for B in equation 1
S = 4·B - 12 Equation 1
S = 4·15 -12
S = 60 - 12 = 48 → number of students
Answer: There are 48 students in the class.
<h3>Verification</h3>There are 48 students and 15 benches.
<em>If 4 students sit on each bench, 3 benches are left vacant.</em>
48students ÷ 4students/bench = 12 benches are occupied and left 3 vacant benches.
<em>If 3 students sit on each bench, 3 students still standing.</em>
<h3 />15benches * 3 students/bench = 45 students are sitting and 3 students remain standing.
<h3>Checked!!</h3>
